True contradictions are taken increasingly seriously by philosophers and logicians. Yet, the belief that contradictions are always false remains deeply intuitive. This paper confronts this belief head-on by explaining in detail how one specific contradiction is true. The contradiction in question derives from Priest's reworking of Berkeley's argument for idealism. However, technical aspects of the explanation offered here differ considerably from Priest's derivation. The explanation uses novel formal and epistemological tools to guide the reader through a valid argument (...) with, not just true, but eminently acceptable premises, to an admittedly unusual conclusion: a true contradiction. The novel formal and epistemological tools concern points of view and changes in points of view. The result is an understanding of why the contradiction is true. (shrink)

The view that contradictions cannot be true has been part of accepted philosophical theory since at least the time of Aristotle. In this regard, it is almost unique in the history of philosophy. Only in the last forty years has the view been systematically challenged with the advent of dialetheism. Since Graham Priest introduced dialetheism as a solution to certain self-referential paradoxes, the possibility of true contradictions has been a live issue in the philosophy of logic. Yet, despite (...) the arguments advanced by dialetheists, many logicians and philosophers still hold the opinion that contradictions cannot be true. -/- Rather than advocating the truth of certain contradictions, this thesis offers a different challenge to the classical logician. By showing that it can be philosophically coherent to propose that true contradictions are metaphysically possible, the thesis suggests that the classical logician must do more than she currently has to justify her confidence in the impossibility of true contradictions. Simply fighting off the dialetheist’s putative examples of true contradictions at the actual world isn’t enough to justify the classical logician’s conclusion that true contradictions are impossible. -/- To aid the thesis dialectically, we introduce a new position, absolutism, which hypothesises that it’s metaphysically possible for at least one contradiction to be true, contrasting with the dialetheic hypothesis that some contradictions are true in the actual world. We demonstrate that absolutism can be given a philosophically coherent interpretation, an appropriate logic, and that certain criticisms are completely toothless against absolutism. The challenge put to the classical logician is then: On what logical or philosophical grounds can we rule out the metaphysical possibility of true contradictions? (shrink)

The purpose of this essay is to shed some light on a certain type of sentence, which I call a borderline contradiction. A borderline contradiction is a sentence of the form F a ∧ ¬F a, for some vague predicate F and some borderline case a of F , or a sentence equivalent to such a sentence. For example, if Jackie is a borderline case of ‘rich’, then ‘Jackie is rich and Jackie isn’t rich’ is a borderline contradiction. Many theories (...) of vague language have entailments about borderline contradictions; correctly describing the behavior of borderline contradictions is one of the many tasks facing anyone offering a theory of vague language. Here, I first briefly review claims made by various theorists about these borderline contradictions, attempting to draw out some predictions about the behavior of ordinary speakers. Second, I present an experiment intended to gather relevant data about the behavior of ordinary speakers. Finally, I discuss the experimental results in light of several different theories of vagueness, to see what explanations are available. My conclusions are necessarily tentative; I do not attempt to use the present experiment to demonstrate that any single theory is incontrovertibly true. Rather, I try to sketch the auxiliary hypotheses that would need to be conjoined to several extant theories of vague language to predict the present result, and offer some considerations regarding the plausibility of these various hypotheses. In the end, I conclude that two of the theories I consider are better-positioned to account for the observed data than are the others. But the field of logically-informed research on people’s actual responses to vague predicates is young; surely as more data come in we will learn a great deal more about which (if any) of these theories best accounts for the behavior of ordinary speakers. (shrink)

The Law of Non-Contradiction holds that both sides of a contradiction cannot be true. Dialetheism is the view that there are contradictions both sides of which are true. Crucial to the dispute, then, is the central notion of contradiction. My first step here is to work toward clarification of that simple and central notion: Just what is a contradiction?

It is widely believed, among philosophers of literature, that imagining contradictions is as easy as telling or reading a story with contradictory content. Italo Calvino’s The Nonexistent Knight, for instance, concerns a knight who performs many brave deeds, but who does not exist. Anything at all, they argue, can be true in a story, including contradictions and other impossibilia. While most will readily concede that we cannot objectually imagine contradictions, they nevertheless insist that we can propositionally imagine (...) them, and regularly do, simply by entertaining a text which prompts us to do so. I argue that this narrative does not bear scrutiny for two main reasons. First, because propositional imagining is beside the point, where truth in fiction is concerned; evaluating truth in fiction engages the cognitive architecture in ways that prohibit the mobilization of merely propositional imagination to that end. And second, because it is not obvious, given the strategies usually suggested, that we ever propositionally imagine contradictions in the first place—in fact, it seems we go out of our way to avoid directly imagining them. (shrink)

Special relativity has changed the fundamental view on space and time since Einstein introduced it in 1905. It substitutes four dimensional spacetime for the absolute space and time of Newtonian mechanics. It is believed that the validities of Lorentz invariants are fully confirmed empirically for the last one hundred years and therefore its status are canonical underlying all physical principles. However, spacetime metric is a geometric approach on nature when we interpret the natural phenomenon. A geometric flaw on this will (...) be exhibited and the alternative is suggested. The reasonable geometric model of space and time is a three dimensional space which is translating along the time direction. This model legitimately represents the true characteristic of nature. (shrink)

In both Metaphysics Γ 4 and 5 Aristotle argues that Protagoras is committed to the view that all contradictions are true. Yet Aristotle’s arguments are not transparent, and later, in Γ 6, he provides Protagoras with a way to escape contradictions. In this paper I try to understand Aristotle’s arguments. After examining a number of possible solutions, I conclude that the best way of explaining them is to (a) recognize that Aristotle is discussing a number of Protagorean opponents, (...) and (b) import another of Protagoras’ views, namely the claim that there are always two logoi opposed to one another. (shrink)

in Robin Le Poidevin (ed.) Being: Developments in Contemporary Metaphysics. Cambridge: Cambridge University Press. Peter van Inwagen claims that there are no tables or chairs. He also claims that sentences such as ‘There are chairs here’, which seem to imply their existence, are often true. This combination of views opens van Inwagen to a charge of self-contradiction. I explain the charge, and van Inwagen’s response to it, which involves the claim that sentences like ‘There are tables’ shift their truth-conditions between (...) different contexts of utterance. I present an alternative response which involves the negation of that claim, and argue that it is preferable to van Inwagen’s. (shrink)

There are two ways of understanding the notion of a contradiction: as a conjunction of a statement and its negation, or as a pair of statements one of which is the negation of the other. Correspondingly, there are two ways of understanding the Law of Non-Contradiction (LNC), i.e., the law that says that no contradictions can be true. In this paper I offer some arguments to the effect that on the first (collective) reading LNC is non-negotiable, but on the (...) second (distributive) reading it is perfectly plausible to suppose that LNC may, in some rather special and perhaps undesirable circumstances, fail to hold. (shrink)

At the end of the first hypothesis, Parmenides gets Aristotle to agree that being [οὐσίας] must be in time; that is, that being must partake in at least one of the temporal modes: either to have been in the past, to be in the present, or it will be in the future (140e-142a). If this is true, then “the one does not partake in being” (141e7-8), meaning temporal being—to which Aristotle agrees, saying “Apparently not” (141e9). Parmenides then gets Aristotle to (...) agree that “Therefore, ‘the one’ in no way is” (141e9-10). This, however, contradicts the very first premise that begins Parmenides’ entire gymnastic exercise, “if one is” (137c4). The problem with the previous conclusion—that to be is to be in time—is that in professing his assent to it, Aristotle, in fact, gainsays it. He performatively contradicts the very thing he wants to assert. Aristotle answers Parmenides question, “Therefore could something partake of being in any way other than in one of those ways?” (141e7-8) with a two-word answer in Greek: “οὐκ ἔστιν [It’s not possible].” We can, therefore, ask of the very claim Aristotle is making—that it is impossible for something to be and not be in time—when in time does it hold true? At what time is it “not possible [οὐκ ἔστιν]” for something to not partake of temporal being? Is it not possible only in the present moment, in the past, or in the future? If Aristotle’s assertion is to have any force it must hold always. It has the same tenselessness as mathematical propositions, like ‘1+1=2.’ Forms, like mathematical entities, must necessarily have atemporal existence. Accordingly, in atemporally maintaining that anything that is must be in time, Aristotle undermines his own assertion. He performatively contradicts the very thing that he wants to affirm. (shrink)

There is a widespread view that Buddhist philosophy embodies logical contradictions such that there would be 'true' contradictions, This article explains that this is not the case and that Buddhist philosophy, more generally the Perennial philosophy, denies all contradictions for the sake of a doctrine of Unity.

The declaration on religious freedom issued by the Second Vatican Council, Dignitatis Humanae claimed: «the human person has a right to religious freedom» (no. 2). Nevertheless, some think the modern declaration of Vatican II contradicts prior Catholic magisterial teaching on religious liberty. I evaluate whether the Magisterium is proposing an inconsistent set of propositions. I argue that a careful reading of the relevant magisterial propositions from classical papal encyclicals, namely, those that apparently opposed religious freedom, reveals they do not contradict (...) any of the propositions concerning religious freedom in the declaration of Vatican II. While proving the absence of a contradiction does not prove that the teaching is true or plausible, there is value in doing so because it allows Catholic theologians to focus on demonstrating that the propositions proposed by the Magisterium are jointly plausible and to propose consistent explanations in which both sets of propositions figure. (shrink)

The paper asks: are all tautologies true in a language with truth-value gaps? It answers that they are not. No tautology is false, of course, but not all are true. It also contends that not all contradictions are false in a language with truth-value gaps, though none are true.

Abstract. As a general theory of reasoning—and as a general theory of what holds true under every possible circumstance—logic is supposed to be ontologically neutral. It ought to have nothing to do with questions concerning what there is, or whether there is anything at all. It is for this reason that traditional Aristotelian logic, with its tacit existential presuppositions, was eventually deemed inadequate as a canon of pure logic. And it is for this reason that modern quantification theory, too, with (...) its residue of existentially loaded theorems and patterns of inference, has been claimed to suffer from a defect of logical purity. The law of non-contradiction rules out certain circumstances as impossible—circumstances in which a statement is both true and false, or perhaps circumstances where something both is and is not the case. Is this to be regarded as a further ontological bias? (shrink)

outrageous remarks about contradictions. Perhaps the most striking remark he makes is that they are not false. This claim first appears in his early notebooks (Wittgenstein 1960, p.108). In the Tractatus, Wittgenstein argued that contradictions (like tautologies) are not statements (Sätze) and hence are not false (or true). This is a consequence of his theory that genuine statements are pictures.

Graham Priest's book In Contradiction is a bold defense of the existence of true contradictions. Although Priest's case is impressive, and many of his arguments are correct, his approach is not the only one allowing for true contradictions. As against Priest's, there is at least one contradictorialist approach which establishes a link between true contradictions and degrees of truth. All in all, such an alternative is more conservative, closer to mainstream analytical philosophy. The two approaches differ as (...) regards the floodgate problem. Priest espouses a confinement policy banning contradictions except in a few special domains, particularly those of pure semantics and set-theory , whereas the alternative approach admits two negations -- natural or weak negation and strong negation, the latter being classical; accordingly, the alternative approach prohibits any contradiction involving strong negation, thus providing a syntactic test of what contradictions have to be rejected. (shrink)

The article analyzes and criticizes the assumptions of Peter Van Inwagen’s argument for the alleged contradiction of the foreknowledge of God and human freedom. The argument is based on the sine qua non condition of human freedom defined as access to possible worlds containing such a continuation of the present in which the agent implements a different action than will be realized de facto in the future. The condition also contains that in every possible continuation of the present state of (...) affairs, the same propositions about the ‘present past’ (the past before the present moment) are true as are true in the present state of affairs. The paper argues that Van Inwagen’s reasoning is inconclusive, it contains the type of mistake of confusing conditional impossibility with unconditional and presents a methodologically wrong method of solving a philosophical problem. It is because in the very construction of the problem determining the available solution. The article points to the possibility that the human freedom of some action is not excluded by the fact that specific past facts logically entail that this event will occur. (shrink)

In this article I examine the so called principle of identity, originally formulated by Aristotle, showing it applies to falsehoods only as truths -- or true falsehoods -- hence that self-identity regards only truths -- of either true falsehoods or simple truths.

Narrated in the first person, Peter Carey’s novel about the life of Australian bushranger Ned Kelly incorporates other aspects of speech derived both from Carey’s personal experience and from the editorial process. Kelly's voice is toned down to some extent by virtue of the latter, introducing expressions Kelly himself would not have used. Identifying these elements, along with the specific attributes of Kelly’s own speech, enjoins a diversity of cultural and social groupings that intersect and, in some instances, compete with (...) or contradict one another. Shifts in speakers might be signalled by textual markers or by adopting different expressive qualities and speech patterns, which may or may not include a change in grammatical person. In this novel, at one instance, a shift in person is apparent, but I want to argue, not necessarily a shift in the identity of the speaker because, although the grammatical voice shifts, its qualitative features are largely unaltered. The shift nonetheless introduces a significant change. Paradoxically, as far as literary theory is concerned, the subjective qualities produced through voice mean that stylisations of speech may be indicative of character point of view, rather than what is understood to be narrative voice, because they might function in narrative as inflections of speech that do not correspond to the established voice of the grammatically instanced speaker—offering a focalised perspective instead. The shift in True History presents problems in these terms, however: the point of view instanced here is clearly that belonging to the speaker, though the voice is Kelly’s, for the narrator’s point of view determines the generality of the descriptive terms where once these were specific and personal. Had the novel been narrated wholly in third person, an unproblematic reading of Kelly’s point of view, suggested by the use of his voice, would be possible. But the shift undermines this—Kelly’s point of view gives way to another, instanced in the shift that takes place in narrative voice. Carey, in other words, inverts the convention. This is not an instance of free indirect style or discourse, where grammatical mood is at odds with the speaker’s position and tenses align with the implicated subject position of another. The same features of voice that might identify character point of view must, in absence of any disparity of mood or tone, function in respect to narrative voice to convey something of its speaker’s subjectivity, and this seems apparent here: the speaker shares Kelly’s subjective emotional and intellectual perspective, but no longer occupies the subject position. Carey’s voicing of the bushranger therefore complicates distinctions between voice and point of view by revealing qualitative features of voice to be important to the question of who is speaking the narrative. (shrink)

Some forms of defining PNC in Aristotle’s works are as follows: a) Everything must be either affirmed or denied (φάναι ἢ ἀποφάναι). (Met., B, 996b28-29) or: it will not be possible to assert and deny the same thing truly at the same time. (Met., Γ, 1008a36-b1) In other words, ‘contradictory statements (ἀντικειμένας φάσεις) are not at the same time true. (Met., Γ, 1011b13-14) Also, ‘It is impossible that contradictories (ἀντίφασιν) should be at the same time true of the same thing.’ (...) (Met., Γ, 1011b15-16) Also, ‘Opposite statements (ἀντικειμένας φάσεις) can never be true of the same subjects.’ (Met., K, 1062a33-34; 1063b15-17) Also, ‘Of all affirmation or negation one is impossible. (PsA., A, 11, 77a22) b) A thing cannot at the same time be and not be. (Met., B, 996b30-31; Γ, 1006a3-5) This can also be extended to many other similar pairs of opposites: ‘The same thing cannot at the same time be and not be, or admit any other similar pair of opposites.’ (Met., K, 1061b34-1062a2) Also, ‘It will be possible for the same thing to be and not to be, except in virtue of an ambiguity.’ (Met., Γ, 1006b18-19) This is also asserted in another similar way: it is impossible that it should be at the same time true to say the same thing is a thing and is not a thing.’ (Met., Γ, 1006b33-34) c) ‘The same attribute cannot at the same time belong (ὑπάρχειν) and not belong to the same object in the same respect.’ (Met., Γ, 1005b19-21) d) Those positive and negative propositions are said to be contradictory which have the same subject and predicate. (OI, I, 7, 17a33-35) The opposition between an affirmation and a denial makes contradictories (ἀντίφασεως). (PsA., A, 2, 72a11-14) Based on Aristotle’s definition, ‘An affirmation is opposed to a denial in the sense which I denote by the term ‘contradictory’ (ἀντίφατικως), when, while the subject remains the same, the affirmation is of universal character and the denial is not.’ (OI., I, 7, 17b16-19) 1) Characteristics of PNC a) It is the most certain (Met., Γ, 1005b22-23 and b11) and the most indisputable (Met., Γ, 1006a5-6) of all principles. b) It is impossible: to believe its contrary (Met., Γ, 1005b24-30); to be really in that position (Met., Γ, 1008b11-13); and to defend it. (OI, I, 9, 18b17-19) Nonetheless, Aristotle thinks that many of the writers about nature assert the contrary of PNC and use a language opposite to it. (Met., Γ, 1005b35-1006a3) c) It is the starting point of all the other axioms. (Met., Γ, 1005b32-34) d) It is not hypothetical. (Met., Γ, 1005b13-17) e) Contradictories are extremely opposed to each other. (Met., Γ, 1007a1-4) f) Believing in PNC saves substance and essence and not believing in it makes all attributes accidents and there will be nothing as being essentially something. The reason is that something which essentially is a being cannot avoid being that thing. (Met., Γ, 1007a20-29 and b16-18) g) PNC supports plurality of things because otherwise all things will be one: ‘If all contradictories are true of the same subject at the same time, evidently all things will be one. For the same thing will be a trireme, a wall, and a man, if it is equally possible to affirm and deny anything of anything.’ (Met., Γ, 1007b18-22) In fact, PNC supports difference: ‘For if contradictories can be predicated alike of each subject, one thing will in no wise differ from another; for if it differs, this difference will be something true and peculiar to it.’ (Met., Γ, 1008a25-27) h) To accept truth and falsity, whether in an absolute sense (e.g. A is more true than B; or C is less true than D) entails PNC. (Met., Γ, 1008b2-7 and b31-35; 1009a2-5) In fact, PNC is entailed by accepting true affirmation. (Met., K, 1062b7-11) i) Judging and choosing between at least two things entails PNC: you cannot choose one as better than another without a previous judging that one is A and the other not A. (Met., Γ, 1008b18-24) The same is true about avoiding. (Met., Γ, 1008b24-29) j) PNC guarantees speaking and saying anything intelligible because otherwise e.g. saying ‘yes’ means both yes and no. (Met., Γ, 1008b7-13) k) Contradictories do not accept intermediates that means we must either affirm or deny a predicate on a subject and there is no third option. (Met., Γ, 1011b23-24; Met., I, 1055b1-2; PsA., A, 2, 72a11-14; Met., I, 1057a33-36) l) PNC is applicable also to the future time. (OI., I, 9, 19a28-29) m) PNC is presupposed by the least semantic of words. If we accept that each word has a meaning and, thus, signifies something definite, we cannot accept that it has the contradictory meaning and signies contradictory things and this approves PNC. Thus, Aristotle asks the opponent of PNC to say just one word, a significant word and takes this as the demonstration of PNC because by saying the word e.g. ‘man’ you have already signified man and not-man. (Met., Γ, 1005a11-13 and a18-22; 1006a28-31 and b13-15) Therefore, signification entails PNC: ‘He, then, who says this is and is not denies what he affirms, so that what the word signifies, he says it does not signify; and this is impossible. Therefore, if ‘This is’ signifies something, one cannot truly assert the contradictory.’ (Met., K, 1062a16-20) He says again: ‘If the word signifies something and this can be truly asserted of it, it necessarily is this; and it is not possible that that which is necessary should ever not be: it is not possible therefore to make the opposed assertions truly of the same subject.’ (Met., K, 1062a20-23; cf. Met., K, 1062a24-31) n) At Met., 4, 3, 1005b9-10 (check???) PNC is called as principle of things (ἀρχὰς τοῦ πράγματος). (quoted from B215, 517) . (shrink)

The perennial nature of some of philosophy’s deepest problems is a puzzle. Here, one problem, the realism–anti-realism debate, and one type of explanation for its longevity, are examined. It is argued that realism and anti-realism form a dialetheic pair: While they are in fact each other’s logical opposite, nevertheless, both are true (and both false). First, several reasons why one might think such a thing are presented. These reasons are merely the beginning, however. In the following sections, the dialetheic conclusion (...) is directly argued for by showing how realism and anti-realism satisfy Priest’s “inclosure schema”. In the last section and the conclusion, the conscious mind’s role in creating realism and anti-realism is discussed. This role further supports the conclusion that realism and anti-realism form a dialetheic pair. (shrink)

This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. (...) While non-adjunctivism is a well-known option, the other view is not so much studied nowadays, but it was not unknown in the tradition, and there are some positive suggestions, in recent literature, that the position is plausible and deserves to be developed. The article compares conjunctivism, non-adjunctivism and dialetheism, then focuses on some possible justifications, costs and benefits of the conjunctive view. (shrink)

In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non-contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically justify (...) paraconsistency there is no need to endorse dialetheism, the thesis that there are true contradictions. Furthermore, we show that mbC, a logic of formal inconsistency based on classical logic, may be enhanced in order to express the basic ideas of an intuitive interpretation of contradictions as conflicting evidence. (shrink)

According to dialetheism, there are some true contradictions. According to the A-theory, the passage of time is a mind-independent feature of reality. On some A-theories, the passage of time involves the movement of the present. I show that by appealing to dialetheism one can explain why the present moves. I then argue that A-theorists should adopt this explanation. To do this, I defend two claims. First, that the dialetheic explanation is an improvement on the only other explanation available for (...) why the present moves and, second, that adopting the explanation is better than leaving the motion of the present unexplained. Assuming that A- theorists should adopt the best available version of their view, it follows that they should adopt a dialetheic explanation of why time passes. (shrink)

Lewisian Genuine Realism about possible worlds is often deemed unable to accommodate impossible worlds and reap the benefits that these bestow to rival theories. This thesis explores two alternative extensions of GR into the terrain of impossible worlds. It is divided in six chapters. Chapter I outlines Lewis’ theory, the motivations for impossible worlds, and the central problem that such worlds present for GR: How can GR even understand the notion of an impossible world, given Lewis’ reductive theoretical framework? Since (...) the desideratum is to incorporate impossible worlds into GR without compromising Lewis’ reductive analysis of modality, Chapter II defends that analysis against objections. The rest of the thesis is devoted to incorporating impossible worlds into GR. Chapter III explores GR-friendly impossible worlds in the form of set-theoretic constructions out of genuine possibilia. Then, Chapters IV-VI venture into concrete impossible worlds. Chapter IV addresses Lewis’ objection against such worlds, to the effect that contradictions true at impossible worlds amount to true contradictions tout court. I argue that even if so, the relevant contradictions are only ever about the non-actual, and that Lewis’ argument relies on a premise that cannot be nonquestion- beggingly upheld in the face of genuine impossible worlds in any case. Chapter V proposes that Lewis’ reductive analysis can be preserved, even in the face of genuine impossibilia, if we differentiate the impossible from the possible by means of accessibility relations, understood non-modally in terms of similarity. Finally, Chapter VI counters objections to the effect that there are certain impossibilities, formulated in Lewis’ theoretical language, which genuine impossibilia should, but cannot, represent. I conclude that Genuine Realism is still very much in the running when the discussion turns to impossible worlds. (shrink)

One might ask of two or more texts—what can be inferred from them, taken together? If the texts happen to contradict each other in some respect, then the unadorned answer of standard logic is EVERYTHING. But it seems to be a given that we often successfully reason with inconsistent information from multiple sources. The purpose of this paper is to attempt to develop an adequate approach to accounting for this given.

In his famous work on vagueness, Russell named “fallacy of verbalism” the fallacy that consists in mistaking the properties of words for the properties of things. In this paper, I examine two (clusters of) mainstream paraconsistent logical theories – the non-adjunctive and relevant approaches –, and show that, if they are given a strongly paraconsistent or dialetheic reading, the charge of committing the Russellian Fallacy can be raised against them in a sophisticated way, by appealing to the intuitive reading of (...) their underlying semantics. The meaning of “intuitive reading” is clarified by exploiting a well-established distinction between pure and applied semantics. If the proposed arguments go through, the dialetheist or strong paraconsistentist faces the following Dilemma: either she must withdraw her claim to have exhibited true contradictions in a metaphysically robust sense – therefore, inconsistent objects and/or states of affairs that make those contradictions true; or she has to give up realism on truth, and embrace some form of anti-realistic (idealistic, or broadly constructivist) metaphysics. Sticking to the second horn of the Dilemma, though, appears to be promising: it could lead to a collapse of the very distinction, commonly held in the literature, between a weak and a strong form of paraconsistency – and this could be a welcome result for a dialetheist. (shrink)

In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non- contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically (...) justify paraconsistency there is no need to endorse dialetheism, the thesis that there are true contradictions. Furthermore, we argue that an intuitive reading of the bivalued semantics for the logic mbC, a logic of formal inconsistency based on classical logic, fits in well with the basic ideas of an intuitive interpretation of contradictions. On this interpretation, the acceptance of a pair of propositions A and ¬A does not mean that A is simultaneously true and false, but rather that there is conflicting evidence about the truth value of A. (shrink)

Modal Meinongianism is a form of Meinongianism whose main supporters are Graham Priest and Francesco Berto. The main idea of modal Meinongianism is to restrict the logical deviance of Meinongian non-existent objects to impossible worlds and thus prevent it from “contaminating” the actual world: the round square is round and not round, but not in the actual world, only in an impossible world. In the actual world, supposedly, no contradiction is true. I will show that Priest’s semantics, as originally formulated (...) in Towards Non-being, tell us something different. According to certain models, there are true contradictions in the actual world. Berto and Priest have noticed this unexpected consequence and have suggested a solution, but I will show that their solution is highly questionable. In the last section of this paper, I will introduce a new and simpler version of modal Meinongianism that avoids the problem. (shrink)

Roger Swyneshed, in his treatise on insolubles (logical paradoxes), dating from the early 1330s, drew three notorious corollaries of his solution. The third states that there is a contradictory pair of propositions both of which are false. This appears to contradict the Rule of Contradictory Pairs, which requires that in every such pair, one must be true and the other false. Looking back at Aristotle's treatise De Interpretatione, we find that Aristotle himself, immediately after defining the notion of a contradictory (...) pair, gave counterexamples to the rule. Thus Swyneshed's solution to the logical paradoxes is not contrary to Aristotle's teaching, as many of Swyneshed's contemporaries claimed. Dialetheism, the contemporary claim that some propositions are both true and false, is wedded to the Rule, and in consequence divorces denial from the assertion of the contradictory negation. (shrink)

The principle of performative contradiction. On the epistemological significance of the dialogue form in Plato's "Euthydemus". - In this study, an analysis of the section 285d-288a of Plato's "Euthydemus" shall show two things: (1) The sophistic model of a world in which there is no contradiction, in which every linguistic utterance is true and every action correct, has no semantic inconsistencies, but can only be rejected with the help of the principle of performative contradictions. (2) It is precisely these (...) performative contradictions that make it necessary for Plato to philosophize not in treatises but in dialogues; in other words, that the philosophical relevance of the Platonic form of dialogue can be seen, among other things, in the fact that - in contrast to philosophical forms of representation such as the treatise, the essay, and a henology as reconstructed and represented by the Tübingen School - it permits the representation of performative reflections and performative contradictions. (shrink)

Philosophical dialetheism, whose main exponent is Graham Priest, claims that some contradictions hold, are true, and it is rational to accept and assert them. Such a position is naturally portrayed as a challenge to the Law of Non-Contradiction (LNC). But all the classic formulations of the LNC are, in a sense, not questioned by a typical dialetheist, since she is (cheerfully) required to accept them by her own theory. The goal of this paper is to develop a formulation of (...) the Law which appears to be unquestionable, in the sense that the Priestian dialetheist is committed to accept it without also accepting something inconsistent with it, on pain of trivialism—that is to say, on pain of lapsing into the position according to which everything is the case. This will be achieved via (a) a discussion of Priest's dialetheic treatment of the notions of rejection and denial; and (b) the characterization of a negation via the primitive intuition of content exclusion. Such a result will not constitute a cheap victory for the friends of consistency. We may just learn that different things have been historically conflated under the label of 'Law of Non-Contradiction'; that dialetheists rightly attack some formulations of the Law, and orthodox logicians and philosophers have been mistaken in assimilating them to the indisputable one. (shrink)

Recent work in formal semantics suggests that the language system includes not only a structure building device, as standardly assumed, but also a natural deductive system which can determine when expressions have trivial truth‐conditions (e.g., are logically true/false) and mark them as unacceptable. This hypothesis, called the ‘logicality of language’, accounts for many acceptability patterns, including systematic restrictions on the distribution of quantifiers. To deal with apparent counter‐examples consisting of acceptable tautologies and contradictions, the logicality of language is often (...) paired with an additional assumption according to which logical forms are radically underspecified: i.e., the language system can see functional terms but is ‘blind’ to open class terms to the extent that different tokens of the same term are treated as if independent. This conception of logical form has profound implications: it suggests an extreme version of the modularity of language, and can only be paired with non‐classical—indeed quite exotic—kinds of deductive systems. The aim of this paper is to show that we can pair the logicality of language with a different and ultimately more traditional account of logical form. This framework accounts for the basic acceptability patterns which motivated the logicality of language, can explain why some tautologies and contradictions are acceptable, and makes better predictions in key cases. As a result, we can pursue versions of the logicality of language in frameworks compatible with the view that the language system is not radically modular vis‐á‐vis its open class terms and employs a deductive system that is basically classical. (shrink)

The starting point of this paper concerns the apparent difference between what we might call absolute truth and truth in a model, following Donald Davidson. The notion of absolute truth is the one familiar from Tarski’s T-schema: ‘Snow is white’ is true if and only if snow is white. Instead of being a property of sentences as absolute truth appears to be, truth in a model, that is relative truth, is evaluated in terms of the relation between sentences and models. (...) I wish to examine the apparent dual nature of logical truth (without dwelling on Davidson), and suggest that we are dealing with a distinction between a metaphysical and a linguistic interpretation of truth. I take my cue from John Etchemendy, who suggests that absolute truth could be considered as being equivalent to truth in the ‘right model’, i.e., the model that corresponds with the world. However, the notion of ‘model’ is not entirely appropriate here as it is closely associated with relative truth. Instead, I propose that the metaphysical interpretation of truth may be illustrated in modal terms, by metaphysical modality in particular. One of the tasks that I will undertake in this paper is to develop this modal interpretation, partly building on my previous work on the metaphysical interpretation of the law of non-contradiction (Tahko 2009). After an explication of the metaphysical interpretation of logical truth, a brief study of how this interpretation connects with some recent important themes in philosophical logic follows. In particular, I discuss logical pluralism and propose an understanding of pluralism from the point of view of the metaphysical interpretation. (shrink)

According to Aristotle if a universal proposition (for example: “All men are white”) is true, its contrary proposition (“All men are not white”) must be false; and, according to Aristotle, if a universal proposition (for example: “All men are white”) is true, its contradictory proposition (“Not all men are white”) must be false. I agree with what Aristotle wrote about universal propositions, but there are universal propositions which have no contrary proposition and have no contradictory proposition. The proposition X “All (...) the propositions that contradict this proposition are true” does not have the contrary proposition and does not have the contradictory proposition. In fact: FEX “All the propositions that contradict this proposition are not true” has a different subject: the subject of the proposition X is constituted by all the propositions that contradict the proposition X; by contrast, the subject of the proposition FEX is constituted by all the propositions that contradict the proposition FEX. And FOX “Not all the propositions that contradict this proposition are true” has a different subject: the subject of the proposition X is constituted by the propositions that contradict the proposition X; by contrast, the subject of the proposition FOX is constituted by the propositions that contradict the proposition FOX. According to Aristotle, a singular proposition (in his example: "Socrates is white") which is true must have its negative proposition ("Socrates is not white") which is false. I agree with Aristotle, but there are singular propositions which do not have the corresponding negative proposition. The proposition (or, rather, the pseudo-proposition) L “This same statement is not true” does not have the negative proposition because the proposition FNL “This same statement is true” has a different subject from the subject of the proposition L: the subject of the proposition L is the proposition L; by contrast, the subject of the proposition FNL is the proposition FNL. L and FNL cannot have the same subject. By contrast, the proposition M “This mount is entirely in Swiss territory” and the proposition NM “This mount is not entirely in Swiss territory” can have the same subject (for example, the Mount Eiger): in case the subject of the proposition M and the subject of the proposition NM is the same, M and NM are opposite propositions, NM is the negative proposition of M. By contrast, the proposition (or, rather, the pseudo-proposition) L "This same statement is not true" cannot have the corresponding negative proposition because FNL "This same statement is true" has a different subject: the subject of L is L ; by contrast, the subject of FNL is FNL. Then the paper continues by analyzing some variants of the liar’s paradox: L1 “The statement L1 is not true”; the so-called liar cycle; and the so-called Yablo’s paradox. (shrink)

The liar paradox is still an open philosophical problem. Most contemporary answers to the paradox target the logical principles underlying the reasoning from the liar sentence to the paradoxical conclusion that the liar sentence is both true and false. In contrast to these answers, Buddhist epistemology offers resources to devise a distinctively epistemological approach to the liar paradox. In this paper, I mobilise these resources and argue that the liar sentence is what Buddhist epistemologists call a contradiction with one’s own (...) words. I situate my argument in the works of Dignāga and Dharmakīrti and show how Buddhist epistemology answers the paradox. (shrink)

One of the fundamental theses of Gadamer’s philosophical hermeneutics is that all knowledge is historically conditioned. This thesis appears to be self-refuting. That is, it appears to contradict itself insofar as its assertion that every knowledge claim is historically conditioned seems to assert an absolute, unconditionally true knowledge claim. If the historicity thesis does, in fact, refute itself in this way, then that spells trouble for philosophical hermeneutics. Gadamer was well aware of this, and so he attempts in several passages (...) to respond to this charge of self-contradiction. Those passages, however, are brief and difficult to understand. They consequently have been either neglected or inadequately understood. This paper makes better sense of those passages in order to defend Gadamer’s historicity thesis as coherent. (shrink)

It is necessarily true that water is H2O, but it is a contingent fact that there is any water at all. Water therefore seems ill suited to ground the necessary truth that water is H2O. One view traditionally attributed to Scotus and Henry of Ghent was that while water is contingent, the essence of water is necessary; hence, the essence of water can ground the so-called eternal truth that water is H2O. Francisco Suárez rejects this view on the grounds that (...) it contradicts the Christian doctrine of creation, according to which everything other than God was contingently created in time. Suárez’s own view of the eternal truths has proven elusive to commentators, but I argue that Suárez ultimately endorses a version of the view he rejects: essences ground the eternal truths. But this raises several puzzles: how is Suárez’s view distinct from the views traditionally ascribed to Scotus and Henry? How does Suárez’s view escape the argument from creation, which Suárez raises against his opponents? I argue that Suárez distinguishes between his view and his opponents’ view by saying that essences have “extrinsic being,” whereas his opponents claim that essences have “intrinsic being.” The distinction between intrinsic and extrinsic being has not received much attention, but I argue that it marks an important fault line in scholastic thinking about the ontological status of non-existents. I argue that the notion of extrinsic being can be explicated in terms of ontological pluralism and grounding. The notion of extrinsic being helps differentiate Suárez’s view from his Scotistic and Henrician opponents, and it allows Suárez to respond to the creation argument he raises against his opponents. On my reading, Suárez’s solution to the problem of eternal truths turns out to be both highly original and philosophically satisfying. (shrink)

Suppose that some contradictions are true – for example, that as I walk through the door, I’m inside and I’m not inside. Then we argue 'if I'm walking through the door, I'm inside; I'm not inside; therefore, I'm not walking through the door' is an invalid instance of modus tollens.

According to dialetheism, some contradictions are true. In a recent paper, Aaron Cotnoir has suggested that theists who are also dialetheists can resolve the paradox of the stone by accepting a contradiction, and arguing that God both can and can't make the stone. However, Zach Weber has replied that dialetheism is no help for avoiding one of the most serious problems for theism, namely the problem of evil. In this paper, I argue the situation is even worse than this (...) for dialetheist theists, since one motivation for dialetheism closes off what otherwise might be a loophole in a classic version of the problem of evil. (shrink)

Each of us is a measure. The project of advocates of change in Plato’s Theaetetus as compared with sophistic thought -/- Summary -/- One of the most intriguing motives in Plato’s Theaetetus is its historical-based division of philosophy, which revolves around the concepts of rest (represented by Parmenides and his disciples) and change (represented by Protagoras, Homer, Empedocles, and Epicharmus). This unique approach gives an opportunity to reconstruct the views of marginalized trend of early Greek philosophy - so called „the (...) sophistic movement”. Paradoxically, previous research shows little interest in sophistic thought as a source of the standpoint of advocates of change („the secret doctrine”). The roots of „the secret doctrine” were investigated in the works of Heraclitus, Aristippus, and Antisthenes or those related to “neoheracliteanism”. However, researchers did not make any significant attempt to confront this concept with the contemporary research on the sophistic movement. The conviction that sophistry was primarily humanistically oriented was one of the main reasons why researches were opposed to the fact that „the secret doctrine” could represent a true expression of Protagoras’ views. This is why J. Burnet and F. M. Cornford in their seminal works assumed that “the secret doctrine” should be attributed to Plato, who simply combined a series of loose statements into one single project. In this work, we argue that the thesis which questions the parallels between the sophists’ interests and the philosophers of nature requires a significant revision. There is ample evidence to suggest that the philosophy of nature was a part of sophists’ research. This is supported by two main arguments. First, the tutors of sophists were philosophers of nature. Second, there are numerous sources that explicitly show sophists’ interest in the physical issues. These sources include anecdotal evidence about the fact that sophists wrote works On nature. There is also information confirming that they deliberated on detailed physical issues. The analogies between the concepts attributed to the advocates of change and our knowledge about sophists from other sources is very wide and contains most elements, which are included in the project of “changeable reality” presented in Theaetetus. The deliberations on the mechanism of perception, which are close to those of flux theory of perception in Theaetetus, are present in the sources referring to Gorgias of Leontinoi, the famous sophist and rhetorician. Also, the second element of “the secret doctrine” that is the metaphysics of flux matches up with what we know about the sophists’ views from other sources. On this basis, one can deduce that – contrary to the tradition which marginalized the role of sophistic considerations on the issue of being and non-being – it was one of the major subjects of sophistic research. Its main point was the criticism of the Eleatic conception of a single and unchangeable being, which also plays a key role in the doctrine of flux in Theaetetus. The epistemological theses which are presented in Theaetetus are borne out in sophistic sources. They include the definition of knowledge as perception, the „Man-measure” formula and a number of principles, which result from these foundational theses. Sophists’ empirical preferences resonate with the theses of the advocates of change in Theaetetus. Special attention that is given to the issues of differences among people, and even to cognitive differences in one person depending on the changeable states to which a person is subject, goes well together with what we know about reciprocal influence between the sophistry and medicine. The consequences of the epistemological conception present in Theaetetus have their equivalents in sophists’ works and other testimonies. An example of these consequences may be the abolition of truth and falsehood or the abolition of contradiction, which finds its expression in the thesis ouk estin antilegein. The analogies also concern reflections on the language itself. The project of the “new language” uses categories, which were developed by sophists. These include the antithesis of nomos and physis. The general intentions of this project reflect Protagoras’ ideas, at least to the extent to which they are known from the sources reporting his thoughts on language. Plato’s Theaetetus can thus be considered a veritable treasury of sophistic motifs. Even though the problem remains unsolved and one is still not able to unambiguously decide about the author of “the secret doctrine”, one can come to a certain conclusion – even if Plato synthesized various doctrines, he must have relied in his project mostly on the elements that he borrowed from sophists. Moreover, the value of reconstructing the project of the advocates of change in Theaetetus does not consist of mere enumeration of sophistic motifs. The dialogue is key to understanding the sophistic movement, whose separate doctrines – for the lack of sources and as a result of centuries-old disregard – are usually treated as rhetorical formulae that are interpreted in many ways and have no philosophical foundations. If it is really the case that the theses attributed to Protagoras in Theaetetus were actually a part or a derivative of Protagoras’ thought, or – speaking more conservatively – if they constitute a synthesis of sophistic thought done by Plato, they could represent philosophical foundations for the most important sophistic theses: the “Man-measure” formula, the ouk estin antilegein principle, the concept of language as a tool, the idea of the relativity of good and the whole practical sphere of sophists’ activity. Contrary to the views of many researchers, we are certain that the representatives of the sophistic movement did not limit themselves only to the application of practical rules, which determined the extent of their educational or rhetorical-political activity. They were capable of creating – indeed, they did create comprehensive projects that embraced the whole thematic scope subject to philosophical reflection. (shrink)

Disclosure of true but reputation-damaging information is generally legal. But threats to disclose true but reputation-damaging information unless payment is made are generally criminal. Many scholars think that this situation is paradoxical because it seems to involve illegality mysteriously arising out of legality, a criminal act mysteriously arising out of an independently legal threat to disclose conjoined with an independently legal demand for money. -/- But this formulation is not quite right. The real paradox raised by the different legal statuses (...) of blackmail threats to disclose and disclosure itself involves a contradiction between our strong intuition that blackmail threats should be criminal and some equally strong arguments, all of which depend on the fact that disclosure is legal, that blackmail threats should be legal. So an adequate solution to the real Blackmail Paradox requires us either to drop the intuition or to refute the pro-legalization arguments. -/- This Article will adopt the latter approach. It will explain why the six main arguments for legalizing blackmail threats all fail. In the course of refuting one of these arguments, it will also offer a novel positive justification for criminalizing blackmail threats: they should be criminal for the same reason that menacing, harassment, and stalking are criminal--namely, because they involve the reasonable likelihood, and usually the intent, of putting the victim into a state of especially great fear and anxiety. -/- Of course, one might object that disclosure itself is likely to have the same effect, if not malicious purpose. Yet, again, it is still legal. But this point shows only that we as a society value freedom of speech more than we value freedom from infliction of emotional injury. It does not show that we do not value freedom from infliction of emotional injury sufficiently to protect it when competing moral or institutional interests such as freedom of speech are not at stake. (shrink)

What were the true reasons of the second scientific revolution? – To answer the question, the epistemic model is applied, according to which radical breakthroughs in science were not due to the fanciful excogitation of new ideas ‘ex nihilo’, but rather to the tedious, long-term and troublesome processes of the mutual lapping, reconciliation, interpenetration and intertwinement of ‘old’ research traditions preceding such breaks. It is contended that Einstein's 'annus mirabilis' constituted an acme of the second scientific revolution. To fathom in (...) what felicitous ways Einstein's 1905 writings hang together one is bound to pay special tribute to his longed strive for unity evinced in incessant attempts to coordinate the profound research traditions of classical physics. Though Einstein's efforts sprung out of Max Planck's pioneering attempts to comprehend electromagnetic phenomena through the lenses of conceptual structures of statistical thermodynamics . It was Planck, who clearly realized the cross-contradiction between 'the physics of material bodies’ and ‘the physics of the ether' and outlined the sketch of its withdrawal: the paradigms 'must be modified to remain compatible'. And it was Planck who took the first step in modifying the physics of the ether and contending that 'not only matter itself but also the effects radiated from matter' possess discontinuous properties, which can be characterized by a new natural constant: the elementary quantum of action. Einstein's part consisted in that he took the second step in modifying the second component of the encounter – the physics of material bodies. Einstein’s foolhardy light quanta hypothesis and distinctive special theory of relativity turn out to be mere milestones of the unwinding of Maxwellian electrodynamics and statistical thermodynamics reconcilement research program. The notorious conception of luminiferous ether was a substantial obstacle for Einstein’s wayward statistical thermodynamics in which the pivotal lead was played by flagrant light quanta paper. Einstein was aware that his enticing light quanta hypothesis was too audacious to be taken literally and he laid out his version of 'electrodynamics of moving bodies' in a markedly Machian/ Duhemian, phenomenological way. As a result of the revision of the second scientific revolution key episode, the arguments are exhibited in favor of the necessity to modify the history of the genesis of general relativity; correspondingly, the process of unification of electromagnetic and weak interactions that took place in the second half of the XX-th century is scrutinized. Eventually, the encounter and interpenetration of the two dominating research traditions of modern physics – that of general relativity and quantum field theory – is elicited. (shrink)

Some people insist that they are dead. Rather than starting with the usual assumption that delusions are ‘false beliefs about external reality’ I want to consider how interpreting their claim as a report of a certain kind of anomalous experience assists us in understanding why they are certain, why their claim is immune from evidence to the contrary, and why they do not act in ways we would expect were they to believe their claim to be true of the world. (...) While this helps us understand cases where people do not act on their delusions, more must be said about the people who do act on their delusions. I shall attempt to describe a process where an intense anomalous experience leads to a context-specific narrowing of attention. The ultimate result of this is that the appearance / reality distinction becomes lost in the context of the anomalous experience. The sense of conviction that would be appropriately associated with a report of experience thus becomes inappropriately associated with a claim about external reality. While there have been efforts to provide cognitive therapy for delusional subjects such therapy seems to be based on the notion that confronting them with their contradictions will assist in weakening their sense of certainty about the delusional utterance. I consider whether more progress could be made via empathetic validation of the sense of certainty which is appropriate when associated with the person’s anomalous experience. (shrink)

In recent literature, panpsychism has been defended by appeal to two main arguments: first, an argument from philosophy of mind, according to which panpsychism is the only view which successfully integrates consciousness into the physical world (Strawson 2006; Chalmers 2013); second, an argument from categorical properties, according to which panpsychism offers the only positive account of the categorical or intrinsic nature of physical reality (Seager 2006; Adams 2007; Alter and Nagasawa 2012). Historically, however, panpsychism has also been defended by appeal (...) to a third argument based on considerations about the nature and observability of causation. This argument has not been much discussed in recent times. Here is a concise version from William James: "… the concrete perceptual flux, taken just as it comes, offers in our own activity-situations perfectly comprehensible instances of causal agency … If we took these experiences as the type of what actual causation is, we should have to ascribe to cases of causation outside of our life, to physical cases also, an inwardly experiential nature. In other words, we should have to espouse a so-called “pan-psychic” philosophy" (James 1911: 218). James here suggests that we have direct experience of causation in our own agency. He thereby directly contradicts David Hume, who famously denied that we have any experience of causation. James goes on to claim that if this experience is representative of causation in general, it follows that all causation is mental, and that panpsychism is true. This kind of argument for panpsychism can be called the argument from (experience of) causation. This chapter offers, first, a history of this argument and arguments closely related to it, and second, an analysis of the argument – is it valid, are its premises in any way defensible, and how does it relate to the other, more popular arguments for panpsychism from philosophy of mind and categorical properties? (shrink)

Moral realists believe that there are objective moral truths. According to one of the most prominent arguments in favour of this view, ordinary people experience morality as realist-seeming, and we have therefore prima facie reason to believe that realism is true. Some proponents of this argument have claimed that the hypothesis that ordinary people experience morality as realist-seeming is supported by psychological research on folk metaethics. While most recent research has been thought to contradict this claim, four prominent earlier studies (...) indeed seem to suggest a tendency towards realism. My aim in this paper is to provide a detailed internal critique of these four studies. I argue that, once interpreted properly, all of them turn out in line with recent research. They suggest that most ordinary people experience morality as “pluralist-” rather than realist-seeming, i.e., that ordinary people have the intuition that realism is true with regard to some moral issues, but variants of anti-realism are true with regard to others. This result means that moral realism may be less well justified than commonly assumed. (shrink)

Ontological pluralism is the view that there are different fundamental ways of being. Trenton Merricks has recently raised three objections to combining pluralism with a generic way of being enjoyed by absolutely everything there is: first, that the resulting view contradicts the pluralist’s core intuition; second, that it is especially vulnerable to the charge—due to Peter van Inwagen—that it posits a difference in being where there is simply a difference in kind; and, third, that it is in tension with various (...) historically influential motivations for pluralism. I reply to each of these objections in turn. My replies will help to bring out the true nature of the pluralist’s basic commitments. (shrink)

Imagination comes with varying degrees of sensory accompaniment. Sometimes imagining is phenomenologically lean (cognitive imagining); at other times, imagining involves or requires sensory presentation such as mental imagery (sensory imagining). Philosophers debate whether contradictions can obtain in fiction and whether cognitive imagining is robust enough to explain our engagement with fiction. In this paper, I defend the Principle of Poetic License by arguing for the Permissive View of fictional truth: we can have fictions in which a contradiction is true, (...) everything is true, or nothing is true. I show that imagination-based worries about impossible, unlimited, and empty fictions can be shown to be about sensory imagination and that sensory imagination isn’t necessary for fictional truth. (shrink)

A fundamental fact is “pure” just in case it has no grounded entities—ex. Tokyo, President Biden, the River Nile, {Socrates}, etc.—among its constituents. Purity is the thesis that every fundamental fact is pure. I argue that Purity is false. My argument begins with a familiar conditional: if Purity is true, then there are no fundamental “grounding facts” or facts about what grounds what. This conditional is accepted by virtually all of Purity’s defenders. However, I argue that it is also the (...) first step toward Purity’s undoing. For, if every grounding fact has a ground, then some grounded entities have “groundmates” or distinct grounded entities that share their full grounds. But, if there are groundmates, then Purity is false. So Purity leads to a contradiction. Therefore, it is false. I close by noting that my argument against Purity also gives us a powerful reason to think that some grounding facts are fundamental. (shrink)

Galen Strawson’s Basic Argument is that because self-creation is required to be truly morally responsible and self-creation is impossible, it is impossible to be truly morally responsible for anything. I contend that the Basic Argument is unpersuasive and unsound. First, I argue that the moral luck debate shows that the self-creation requirement appears to be contradicted and supported by various parts of our commonsense ideas about moral responsibility, and that this ambivalence undermines the only reason that Strawson gives for the (...) self-creation requirement. Second, I argue that the self-creation requirement is so demanding that either it is an implausible requirement for a species of true moral responsibility that we take ourselves to have or it is a plausible requirement of a species of true moral responsibility that we have never taken ourselves to have. Third, I explain that Strawson overgeneralizes from instances of constitutive luck that obviously undermine moral responsibility to all kinds of constitutive luck. (shrink)